49876832851200 has 432 divisors, whose sum is σ = 186784642517760. Its totient is φ = 13017497518080.

The previous prime is 49876832851171. The next prime is 49876832851259. The reversal of 49876832851200 is 215823867894.

49876832851200 is a `hidden beast` number, since 4 + 9 + 8 + 76 + 83 + 285 + 1 + 200 = 666.

49876832851200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5050972 + ... + 11192228.

It is an arithmetic number, because the mean of its divisors is an integer number (432371857680).

It is a 1-persistent number, because it is pandigital, but 2⋅49876832851200 = 99753665702400 is not.

Almost surely, 2^{49876832851200} is an apocalyptic number.

49876832851200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49876832851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93392321258880).

49876832851200 is an abundant number, since it is smaller than the sum of its proper divisors (136907809666560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49876832851200 is a wasteful number, since it uses less digits than its factorization.

49876832851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141339 (or 6141314 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 49876832851200 in words is "forty-nine trillion, eight hundred seventy-six billion, eight hundred thirty-two million, eight hundred fifty-one thousand, two hundred".